The set that is not a function is determined by the set that has the same
input in two ordered pair.
The set that is not a function is the set; [tex]\underline{ \{(-1, 2), (1, 3), (1, 5), (-3, 4)\}}[/tex]
Reasons:
A function is a relation between a set of input and a set of output such that
each input has one output only.
The given set values are;
{(-1, 2), (1, 3), (1, 5), (-3, 4)}
{(0, 2), (1, 4), (2, 5), (3, 6)}
{(-4, 3), (-1, 1), (-2, 5), (3, 7)}
{(0, 2), (1, 2), (2, 2), (3, 2)}
Required:
The set that is not a function
To obtain the set of ordered pair that is not a function, we obtain the set
that has more than one ordered pair with the same input, which is the first
set;
{(-1, 2), (1, 3), (1, 5), (-3, 4)}
In the first set, we have;
The ordered pair (1, 3); Input = 1, output = 3
The ordered pair (1, 5); Input = 1, output = 5
Therefore, in the set, the same input, 1, has two different outputs, 3 and 5,
therefore, the set [tex]\underline{ \{(-1, 2), (1, 3), (1, 5), (-3, 4)\}}[/tex] it is a not a function.
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